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When x = 10 ft, the crate has a speed of 20 ft/s which is increasing at 6 ft/s2. Determine the direction of the crate’s velocity and the magnitude of the crate’s acceleration at this instant.
5. A boat is sailing along a circular path of v= (0.0625t^2) m⁄s where t is in seconds. Determine the magnitude of its acceleration when t= 10 s.
1) A particle is constrained to travel along the path. If x = (4t^2)m, where t is in seconds, determine the magnitude of the particle’s velocity and acceleration when t= 0.5 s.
2) A particle traveling along a parabolic path y = 0.25x^2. If x= (2t^2)m, where t is in seconds,
determine the magnitude of the particle’s velocity and acceleration when t = 2s.
When x = 10 ft, the crate has a speed of 20 ft/s which is increasing at 6 ft/s2. Determine the direction of the crate’s velocity and the magnitude of the crate’s acceleration at this instant.
1. A particle is travelling along a straight path described as = 0.75x . If its position along the x axis is
x= (8t)m, where t is in seconds, determine its speed when t=2s.
The angular displacement of a body is a function of time and is given by equation: tither= 10 + 3t+ 6t^2, where t is in seconds.
Determine the angular velocity, displacement and acceleration when t = 5 seconds.
The position of a particle along a straight line is given by s= (1.5t^3 − 13.5t^2+ 22.5t)ft, where t is in seconds. Determine the position of the particle when t = 6 s and the total distance it travels during the 6s time interval.
A train starts from rest at a station and travels with a constant acceleration of 1m/s2. Determine the velocity of the train when t = 30s and the distance travelled during this time.
A particle travels along a straight line with a velocity of v= (20 − 0.05s^2) m/s, where s is in meters. Determine the acceleration of the particle at s = 15 m.
Initially, a car travels along a straight road with a speed of 35 m/s. if the brakes are applied and the speed of the car is reduced to 10 m/s in 15 s, determine the constant deceleration of the car.
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